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Finding the Fourth Proportional to 30,535.08, 45,809.15 and 9,474.66

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Solution

The fourth proportional to 30,535.08, 45,809.15 and 9,474.66 is: 14,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.08 : 45,809.15 = 9,474.66 : x
  2. Step 2: Convert to fraction form
    30,535.08/45,809.15 = 9,474.66/x
  3. Step 3: Cross multiply
    30,535.08x = 45,809.15 × 9,474.66
  4. Step 4: Simplify right side
    30,535.08x = 434,026,121.14
  5. Step 5: Solve for x
    x = 434,026,121.14/30,535.08
  6. Step 6: Final answer
    x = 14,214.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.